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Clio Corvid
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Month: August 2015

Other mathematics

Filling in Blanks: The General Case

Posted on August 30, 2015 by Clio Corvid / 0 Comment

Discussion about the puzzle behind the previous post led to this question: Is it possible to construct a similar question, where there are three of five values ...

Other mathematics

Filling in Blanks

Posted on August 30, 2015 by Clio Corvid / 1 Comment

Here’s an interesting mean/median question. Assume your lab assistant took five readings, but only recorded three of them: -3, 5, and 7. The assistant als...

Other mathematics

It’s Always Monday

Posted on August 28, 2015 by Clio Corvid / 0 Comment

In this post, I discuss the Sleeping Beauty problem, which explores how perception can affect assessment of probabilities. First, the video that introduced me t...

Other mathematics

Nested Isosceles Triangles

Posted on August 27, 2015 by Clio Corvid / 0 Comment

Today, I’m going to write up a quick geometric proof. Here’s the original puzzle that inspired it. Given that \(AC = AB\) and that \(AE = DE = CD = ...

Other mathematics

Types of Numbers

Posted on August 21, 2015 by Clio Corvid / 0 Comment

Elementary school students spend most of their time working with counting numbers, that is, the non-negative integers. As students progress through secondary sc...

Other mathematics

Improper vs Mixed Fractions: A Six-Year-Old’s Perspective

Posted on August 17, 2015 by Clio Corvid / 0 Comment

I often discuss mathematics with my six-year-old son. As a teacher, my goal is to try to pinpoint where it is that student understandings go astray. As a parent...

Other mathematics

Misadding Fractions

Posted on August 6, 2015 by Clio Corvid / 0 Comment

A common mistake students make when adding fractions is to add both the numerators and the denominators (I’ll use a special symbol to reinforce that this ...

Other mathematics

Milne: “Are” vs “Is”

Posted on August 2, 2015 by Clio Corvid / 1 Comment

I noted in an earlier post that in 1893, Milne used “are” as a casual speech reading of the equality sign, rather than the “is” that I&#...

Other mathematics

The Haves and the Have-Gots

Posted on August 1, 2015 by Clio Corvid / 0 Comment

This is a post on language and linguistics, one of my other passions. This is also largely an educated riff; there has been a lot written on this subject, and I...

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